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Finding the Fourth Proportional to 334,400.96, 461,473.28 and 191,164

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Solution

The fourth proportional to 334,400.96, 461,473.28 and 191,164 is: 263,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,400.96 : 461,473.28 = 191,164 : x
  2. Step 2: Convert to fraction form
    334,400.96/461,473.28 = 191,164/x
  3. Step 3: Cross multiply
    334,400.96x = 461,473.28 × 191,164
  4. Step 4: Simplify right side
    334,400.96x = 88,217,078,097.92
  5. Step 5: Solve for x
    x = 88,217,078,097.92/334,400.96
  6. Step 6: Final answer
    x = 263,806.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.